404311488 has 224 divisors, whose sum is σ = 1310883840. Its totient is φ = 107412480.

The previous prime is 404311471. The next prime is 404311489. The reversal of 404311488 is 884113404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404311489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1812945 + ... + 1813167.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2^404311488 is an apocalyptic number.

404311488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655441920).

404311488 is an abundant number, since it is smaller than the sum of its proper divisors (906572352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404311488 is a wasteful number, since it uses less digits than its factorization.

404311488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 404311488 is about 20107.4983028720. The cubic root of 404311488 is about 739.4441211279. Note that the first 3 decimals are identical.

The spelling of 404311488 in words is "four hundred four million, three hundred eleven thousand, four hundred eighty-eight".